x(x-20)=525

Solution for x(x-20)=525 equation:

Simplifying
x(x + -20) = 525

Reorder the terms:
x(-20 + x) = 525
(-20 * x + x * x) = 525
(-20x + x2) = 525

Solving
-20x + x2 = 525

Solving for variable 'x'.

Reorder the terms:
-525 + -20x + x2 = 525 + -525

Combine like terms: 525 + -525 = 0
-525 + -20x + x2 = 0

Factor a trinomial.
(-15 + -1x)(35 + -1x) = 0

Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15
Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {-15, 35}